AP EAMCET202420 May 2024Evening ShiftPhysicsMechanical Properties of SolidsActual
Depth of a river is 100 m . Magnitude of compressibility of the water is 0.5 10⁻⁹ ~N ⁻¹ ~m ^2 . The fractional compression in water at the bottom of the river is (Acceleration due to gravity =10 ~ms ⁻² )
Options
- A0.9 10^3
- B0.5 10^3
- C2 10⁻³
- D1.3 10⁻²
Correct answer
B. 0.5 10^3
Step-by-step solution
Compressibility, k =0.5 10⁻⁹ ~N ⁻¹ ~m ^2 Pressure, P = gh =10^3 10 100=10^6 Nm ⁻² K = 1 ~B = ( v / v ) P Fractional change in volume, V V = KP =0.5 10⁻⁹ 10^6=0.5 10⁻³